Thermoelasticity of thin shells based on the time-fractional heat conduction equation
Keyword(s):
AbstractThe time-nonlocal generalizations of Fourier’s law are analyzed and the equations of the generalized thermoelasticity based on the time-fractional heat conduction equation with the Caputo fractional derivative of order 0 < α ≤ 2 are presented. The equations of thermoelasticity of thin shells are obtained under the assumption of linear dependence of temperature on the coordinate normal to the median surface of a shell. The conditions of Newton’s convective heat exchange between a shell and the environment have been assumed. In the particular case of classical heat conduction (α = 1) the obtained equations coincide with those known in the literature.
2017 ◽
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pp. 378-392
2016 ◽
Vol 71
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pp. 2132-2137
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2015 ◽
pp. 117-170
2012 ◽
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2018 ◽
Vol 13
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pp. 5
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